DOAJ Open Access 2020

A non-partitionable Cohen–Macaulay simplicial complex

Art M. Duval Bennet Goeckner Caroline J. Klivans Jeremy Martin

Lihat Sumber DOI

Abstrak

A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partition- able. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also disproves the conjecture that the Stanley depth of a monomial ideal is always at least its depth.

Topik & Kata Kunci

Mathematics

Penulis (4)

Art M. Duval

Bennet Goeckner

Caroline J. Klivans

Jeremy Martin

Format Sitasi

APA MLA BibTeX

Duval, A.M., Goeckner, B., Klivans, C.J., Martin, J. (2020). A non-partitionable Cohen–Macaulay simplicial complex. https://doi.org/10.46298/dmtcs.6325

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6325

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6325
Akses: Open Access ✓